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Stock-Based Compensation - SARs (Details) - Stock Appreciation Rights
9 Months Ended
Jan. 27, 2018
$ / shares
Stock-Based Compensation  
Percentage vesting each year from date of grant 25.00%
Period from grant date for first vesting 1 year
Vesting period 4 years
Fiscal 2014 Grant  
Fair value assumptions  
Risk-free interest rate (as a percent) 1.50%
Dividend rate (as a percent) 1.49%
Expected life in years 4 months 17 days
Stock price volatility (as a percent) 28.09%
Fair value per share (in dollars per share) $ 13.02
Fiscal 2013 Grant  
Fair value assumptions  
Fair value per share (in dollars per share) $ 20.18